Browsing Pure and Applied Mathematics by Issue Date
Now showing items 120 of 54

Semigroups of Linear Operators and Application to Differential Equations
(20091208)This work concerns one of the most important tools to solve wellposed problems in the theory of evolution equations (e.g di usion equation, wave equations, ...) and in the theory of stochastic process, namely the semigroups ...


The Mountain Pass Theorem and Applications
(20101108)This project lies at the interface between Nonlinear Functional Analysis, unconstrained Optimization and Critical point theory. It concerns mainly the AmbrosettiRabinowitz's Mountain Pass Theorem which is a minmax theorem ...

Floquet Theory and Applications
(20101205)This project is at the interface between Analysis, Natural Sciences and Modeling Theory. It deals with Floquet Theory (also re ered to as FloquetLyapunov theory) which is the main tool of the theory of periodic ordinary ...

Isoperimetric Variational Techniques and Applications
(20101205)This project is at the interface between Nonlinear Functional Analysis, Convex Analysis and Di erential Equations. It concerns one of the most powerful methods often used to solve optimization problems with constraints; ...

Monotone Operators and Applications
(20101207)This project is mainly focused on the theory of Monotone (increasing) Operators and its applications. Monotone operators play an important role in many branches of Mathematics such as Convex Analysis, Optimization Theory, ...


Monotone Operators and Applications
(201112)This project is mainly focused on the theory of Monotone (increasing) Operators and its applications. Monotone operators play an important role in many branches of Mathematics such as Convex Analysis, Optimization Theory, ...

Spectral Theory of Compact Linear Operators and Applications
(20111215)This Project primarily falls into the field of Linear Functional Analysis and its Applications to Eigenvalue problems. It concerns the study of Compact Linear Operators (i.e., bounded linear operators which map the closed ...

Differential Forms and Applications
(20111215)This project deals mainly with Differential Forms on smooth Riemannian manifolds and their applications through the properties of their classical Differential and Integral Operators. The calculus of Differential Forms ...


Minimum Principle of Pontryagin
(20111215)This Project is at the interface between Optimization, Functional analysis and Differential equation. It concerns one of the powerful methods often used to solve optimization problems with constraints; namely Minimum ...

Evolution Equations and Applications
(20111217)This project concerns Evolution Equations in Banach spaces and lies at the interface between Functional Analysis, Dynamical Systems, Modeling Theory and Natural Sciences. Evolution Equations include Partial Differential ...

Characteristic Inequalities in Banach Spaces and Applications
(20130527)The contribution of this project falls within the general area of nonlinear functional analysis and applications. We focus on an important topic within this area: Inequalities in Banach spaces and applications. As is well ...

Quadratic forms with Applications
(20130527)The scope of Quadratic Form Theory is historically wide although it usually appears almost as an afterthought when needed to solve a variety of problems such as the classification of Hessian matrices in finite dimensional ...


Existence and Uniqueness of Solutions of Integral Equations of Hammerstein Type
(20130527)Let X be a real Banach space, X ∗ its conjugate dual space. Let A be a monotone anglebounded continuous linear mapping of X into X ∗ with constant of angleboundedness c ≥ 0. Let N be a hemicontinuous (possibly nonlinear) ...


Pricing and Modeling of Bonds and Interest Rate Derivatives
(20130527)

Maximal Monotone Operators on Hilbert Spaces and Applications
(201605)Let H be a real Hilbert space and A : D(A) ⊂ H → H be an unbounded, linear, selfadjoint, and maximal monotone operator. The aim of this thesis is to solve u 0 (t) + Au(t) = 0, when A is linear but not bounded. The classical ...